Correct statement about sound wave

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The discussion centers on the speed of sound waves, specifically the velocities at the centers of compression and rarefaction. The original poster believes that the speed at these points should be maximum, while their teacher asserts it is only at one point. A respondent clarifies that each particle in a sound wave undergoes simple harmonic motion (SHM), indicating that velocity is greatest when displacement is zero. This suggests that the teacher's assertion may be incorrect. The conversation emphasizes the importance of understanding particle motion in sound waves.
songoku
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Homework Statement
Please see below
Relevant Equations
None
1664534911633.png


My answer is (1) and (2) but the teacher said it is only (1). I thought the speed of point at center of compression and center of rarefaction would be the maximum.

Or the correct one is the speed at center of compression and center of rarefaction would be zero?

Thanks
 
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Your teacher is wrong. Each particle is undergoing SHM and so velocity is the greatest whenever displacement is zero.
 
Thank you very much Orodruin
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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